Least Common Multiple of 2/980, 69/458, 49/362

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2/980, 69/458, 49/362 quickly i.e. 3381 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2/980, 69/458, 49/362 is 3381.

LCM(2/980, 69/458, 49/362) = 3381

LCM of 2/980, 69/458, 49/362

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 2/980,69/458,49/362

Given numbers are 2/980,69/458,49/362

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 2,69,49

Least Common Multiple of Numerators i.e. LCM of 2,69,49 is 6762.

GCF of Denominators means GCF of 980,458,362 as per the given fractions.

GCF of 980,458,362 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2,69,49

LCM of Fractions 2/980,69/458,49/362 is 3381

Given numbers has no common factors except 1. So, there LCM is their product i.e 6762

Least Common Multiple of 2,69,49 with GCF Formula

Least Common Multiple of 2,69,49 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 2,69,49 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2,69,49) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(2,69,49) x common factors =1 x 1 = 1

LCM(2,69,49) = ( 2 × 69 × 49 ) / 1

LCM(2,69,49) = 6762 / 1

LCM(2,69,49) = 6762


Lets's calculate GCF of 980,458,362

2 980, 458, 362
490, 229, 181

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6762/2

Therefore the LCM of Fractions 2/980,69/458,49/362 is 3381

Greatest Common Factor of 980,458,362 By Matching Biggest Common Factor Method

Greatest Common Factor of 980,458,362 By Matching Biggest Common Factor Method

Factors of 980

List of positive integer factors of 980 that divides 980 without a remainder.

1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980

Factors of 458

List of positive integer factors of 458 that divides 458 without a remainder.

1,2,229,458

Factors of 362

List of positive integer factors of 362 that divides 362 without a remainder.

1,2,181,362

Greatest Common Factor

We found the factors 980,458,362 . The biggest common factor number is the GCF number.
So the greatest common factor 980,458,362 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 2/980, 69/458, 49/362

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 2/980, 69/458, 49/362?

Answer: LCM of Numerators as per given numbers 2/980, 69/458, 49/362 is

LCM of Numerators i.e. for 2,69,49 is 6762

GCF of denominators i.e. for 980,458,362 is 2.

Thus, LCM of Fractions is 3381.Finally, LCM of Fractions for 2/980, 69/458, 49/362 is 3381.